Problem is, there is divergence going back before 2063. According to Enterprise's two-parter, Earth literature is different between the two universes, the Prime's literature is "soft and weak" compared to the MU's. Except for Shakespeare, he's the same in both universes. There's a line stating the Terran Empire had already been around "for centuries."

I believe that what you're referring to there is from Diane Duane's TNG novel, 'Dark Mirror'. It's been years since I've read it, but I don't think this came from ENT's two-parter, as I've seen that about ten times.